Information on Result #613689
Linear OA(591, 1953126, F5, 13) (dual of [1953126, 1953035, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(598, 1953136, F5, 13) (dual of [1953136, 1953038, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(599, 1953139, F5, 13) (dual of [1953139, 1953040, 14]-code) | [i] | ||
| 3 | Linear OA(5100, 1953151, F5, 13) (dual of [1953151, 1953051, 14]-code) | [i] | ||
| 4 | Linear OA(597, 1953133, F5, 13) (dual of [1953133, 1953036, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(5110, 1953145, F5, 15) (dual of [1953145, 1953035, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(592, 1953145, F5, 13) (dual of [1953145, 1953053, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(5100, 1953171, F5, 13) (dual of [1953171, 1953071, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(5110, 1953146, F5, 15) (dual of [1953146, 1953036, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 9 | Linear OA(592, 1953146, F5, 13) (dual of [1953146, 1953054, 14]-code) | [i] | ✔ | |